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Finding the Fourth Proportional to 32,518.40, 48,738.88 and 15,640.80

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Solution

The fourth proportional to 32,518.40, 48,738.88 and 15,640.80 is: 23,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,518.40 : 48,738.88 = 15,640.80 : x
  2. Step 2: Convert to fraction form
    32,518.40/48,738.88 = 15,640.80/x
  3. Step 3: Cross multiply
    32,518.40x = 48,738.88 × 15,640.80
  4. Step 4: Simplify right side
    32,518.40x = 762,315,074.30
  5. Step 5: Solve for x
    x = 762,315,074.30/32,518.40
  6. Step 6: Final answer
    x = 23,442.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.